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Finding the Third Proportional to 112,512 and 242,520

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Solution

The third proportional to 112,512 and 242,520 is: 522,752.69

Step by Step Solution

  1. Step 1: Write the proportion equation
    112,512 : 242,520 = 242,520 : x
  2. Step 2: Convert to fraction form
    112,512/242,520 = 242,520/x
  3. Step 3: Cross multiply
    112,512x = 242,520 × 242,520
  4. Step 4: Simplify right side
    112,512x = 58,815,950,400
  5. Step 5: Solve for x
    x = 58,815,950,400/112,512
  6. Step 6: Final answer
    x = 522,752.69

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Why These Related Problems?

These problems maintain the same ratio (2.16) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.